From the moment the friend passes the bicyclist, his friend covers a distance over time t of (3.63 m/s)*t.
The bicyclist covers a distance of 1/2*(2.11 m/s^2)*t^2. They meet when these distances are equal:
3.63 t = 1.055 t^2 ==> 1.055 t^2 - 3.63 t = 0
==> t = 0 s or t = 3.44 s
Answer:
- Unit price of a 2-liter bottle of soda:

- Unit price of a case of twelve 12 ounce cans:

- The better bargain is the case of 12 ounce cans.
Step-by-step explanation:
Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y" the unit price (price/ounce) of the soda in the case of twelve 12 ounces cans.
According to the data provided in the exercise, you know that:
1. The 2-liter bottle of soda is equal to 67.6 ounces.
2. That bottle costs $1.89
Then, the unit price is:

3. There are 12 ounce cans in the case. Then the total ounces is:

4. It costs $2.99. So the unit price is:

Since:

The better bargain is the case of 12 ounce cans.
It is a 24 gallon tank
at 1/4 full =
6 gallons / 24 gallons = 1/4
after 10 gallons added,
= 16/24
= 2/3 full
So 8 more gallons are needed to fill the tank completely.
The equation given is:
10 5/18 - 8 5/6
Turn the equations to improper fractions
[10*18 +5] = 185
[8 * 6 + 5]= 53
185/18 - 53/6
[185 - 159]/18 = 26/18
26/18 = 1 8/18.
Volume of cylinder = 2pierh + 2pier^2
= 2*3.14*4.5*13 + 2*3.24*4.5^2
= 494.8